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Finding the Fourth Proportional to 286,675.60, 430,013.40 and 73,443.10

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Solution

The fourth proportional to 286,675.60, 430,013.40 and 73,443.10 is: 110,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,675.60 : 430,013.40 = 73,443.10 : x
  2. Step 2: Convert to fraction form
    286,675.60/430,013.40 = 73,443.10/x
  3. Step 3: Cross multiply
    286,675.60x = 430,013.40 × 73,443.10
  4. Step 4: Simplify right side
    286,675.60x = 31,581,517,137.54
  5. Step 5: Solve for x
    x = 31,581,517,137.54/286,675.60
  6. Step 6: Final answer
    x = 110,164.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.